Mixed spin thin films in the Blume–Emery–Griffiths model with biquadratic exchange interaction: A Monte Carlo study

•Magnetic thin film is studied.•Monte Carlo simulations are applied.•The biquadratic exchange interaction are used.•The Blume–Emery–Griffiths model is proposed and discussed.•The hysteresis loops are deduced.

In this paper, we investigate the Blume–Emery–Griffiths thin film model, for mixed spins σ = 3/2 and S = 2, with a biquadratic exchange interaction. More precisely, we study the effect of the coupling exchange interactions in the presence of both an external magnetic and crystal fields. We first elaborate analytically the ground state phase diagrams. Concretely, the stable phases have been discussed. Then, the magnetic properties, at non vanishing temperature, are illustrated using Monte Carlo calculations. To complete this study, we examine the hysteresis loops behavior of the system.